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Error-corrected quantum sensing
Author(s): Sisi Zhou; David Layden; Mengzhen Zhang; John Preskill; Paola Cappellaro; Liang Jiang
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Paper Abstract

Quantum metrology has many important applications in science and technology, ranging from frequency spectroscopy to gravitational wave detection. Quantum mechanics imposes a fundamental limit on measurement precision, called the Heisenberg limit, which can be achieved for noiseless quantum systems, but is not achievable in general for systems subject to noise. Here we study how measurement precision can be enhanced through quantum error correction, a general method for protecting a quantum system from the damaging effects of noise. We find a necessary and sufficient condition for achieving the Heisenberg limit using quantum probes subject to Markovian noise, assuming that noiseless ancilla systems are available, and that fast, accurate quantum processing can be performed. When the sufficient condition is satisfied, the quantum error-correcting code achieving the best possible precision can be found by solving a semidefinite program. We also show that noiseless ancilla are not needed when the signal Hamiltonian and the error operators commute. Finally we provide two explicit, archetypal examples of quantum sensors: qubits undergoing dephasing and a lossy bosonic mode.

Paper Details

Date Published: 1 March 2019
PDF: 14 pages
Proc. SPIE 10934, Optical, Opto-Atomic, and Entanglement-Enhanced Precision Metrology, 109341J (1 March 2019); doi: 10.1117/12.2511587
Show Author Affiliations
Sisi Zhou, Yale Univ. (United States)
David Layden, Massachusetts Institute of Technology (United States)
Mengzhen Zhang, Yale Univ. (United States)
John Preskill, Caltech (United States)
Paola Cappellaro, Massachusetts Institute of Technology (United States)
Liang Jiang, Yale Univ. (United States)

Published in SPIE Proceedings Vol. 10934:
Optical, Opto-Atomic, and Entanglement-Enhanced Precision Metrology
Selim M. Shahriar; Jacob Scheuer, Editor(s)

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